Representations of Homotopy Lie-Rinehart Algebras

作者：Vitagliano Luca^*

来源：Mathematical Proceedings of the Cambridge Philosophical Society, 2015, 158(1): 155-191.

DOI：10.1017/S0305004114000541

I propose a definition of left/right connection along a strong homotopy Lie-Rinehart algebra. This allows me to generalise simultaneously representations up to homotopy of Lie algebroids and actions of L-infinity algebras on graded manifolds. I also discuss the Schouten-Nijenhuis calculus associated to strong homotopy Lie-Rinehart connections.

• 出版日期2015-1